MCQ 11 Mark
Tick $(\checkmark)$ the correct answer: If $\frac{\text{n}}{2}-\frac{3\text{n}}{4}+\frac{5\text{n}}{6}=21,$ then $\text{n}=?$
Answer$\frac{\text{n}}{2}-\frac{\text{3n}}{4}+\frac{5\text{n}}{6}=21$
$\Rightarrow\frac{ 6\text{n} - 9\text{n} + 10\text{n}}{12}= 21$
$\Rightarrow7\text{n}=21\times12$
$\Rightarrow7\text{n}=252$
$\Rightarrow\text{n}=\frac{252}{7}$
$\text{n}=36$
View full question & answer→MCQ 21 Mark
Tick $(\checkmark)$ the correct answer: If $5\text{x}+\frac{7}{1}=\frac{3}{2}\text{x}-14,$ then $\text{x} = ?$
Answer$\text{5x}+\frac{7}{2}=\frac{3}{2}\text{x}-14$
$\Rightarrow\frac{10\text{x}+7}{2}=\frac{3\text{x}-28}{2}$
$\Rightarrow10\text{x}+7=3\text{x}-28$
$\Rightarrow10\text{x}-3\text{x}=-28-7$
$\Rightarrow7\text{x}=-35$
$\Rightarrow\text{x}=\frac{-35}{7}=-5$
View full question & answer→MCQ 31 Mark
Tick $(\checkmark)$ the correct answer: Sum of three consecutive integers is $51$. The middle one is:
AnswerLet the three consecutive integers be $x, x + 1$ and $x + 2.$
Equation $= \text{x} + \text{x} + 1 + \text{x} + 2 = 51$
$\Rightarrow3\text{x} + 3 = 51$
$\Rightarrow3\text{x} = 51 - 3$
$\Rightarrow3\text{x} = 48$
$\Rightarrow\text{x} = \frac{48}{3}= 16$
Middle integer $= \text{x}+1 = 16 + 1 = 17$
View full question & answer→MCQ 41 Mark
Tick $(\checkmark)$ the correct answer: The base of an isosceles triangle is $6\ cm$ and its perimeter is $16\\ cm$. Length of each of the equal sides is:
- A
$4\ cm$
- ✓
$5\ cm$
- C
$3\ cm$
- D
$6\ cm$
AnswerCorrect option: B. $5\ cm$
Let the equal side of the isosceles triangle be $x.$
Then, the perimeter of the triangle would be $(x + x + 6).$
$\therefore2\text{x} + 6 = 16 $
$\Rightarrow2\text{x} = 16 - 6$
$\Rightarrow2\text{x} = 10$
$\Rightarrow\text{x} = \frac{10}{2}= 5$
$\therefore$ Length of each equal side $= 5\ cm$
View full question & answer→MCQ 51 Mark
Tick $(\checkmark)$ the correct answer:
Four-fifths of a number is greater than three-fourths of the number by $4.$ The number is:
AnswerLet the number be $x.$
$\therefore\frac{4}{5}\text{x}=\frac{3}{4}\text{x}+4$
$\Rightarrow\frac{4}{5}\text{x}=\frac{3\text{x}+16}{4}$
$\Rightarrow16\text{x} = 15\text{x} + 80$
$\Rightarrow16\text{x} - 15\text{x} = 80$
$\Rightarrow \text{x} = 80$
View full question & answer→MCQ 61 Mark
Tick $(\checkmark)$ the correct answer: If $\frac{\text{4x}+8}{2\text{5x}+8}=\frac{5}{6},$ then $\text{x}=?$
Answer$\frac{\text{4x}+8}{2\text{5x}+8}=\frac{5}{6}$
$\Rightarrow6(\text{4x}+8)=5(5\text{x}+8)$
$\Rightarrow24\text{x}+48=25\text{x}+40$
$\Rightarrow24\text{x}-25\text{x}=-48\text{x}+40$
$\Rightarrow-\text{x}=-8$
$\Rightarrow\text{x}=8$
View full question & answer→MCQ 71 Mark
Tick $(\checkmark)$ the correct answer: Number of boys and girls in a class are in the ratio $7 : 5.$ The number of boys is $8$ more than the number of girls. The total class strength is:
AnswerLet the number of boys in the class be $x.$
Then, the number of girls will be $(x - 8).$
The equation becomes:
$\Rightarrow\frac{\text{x}}{\text{x}-8}=\frac{7}{5}$
$\Rightarrow5\text{x} = 7\text{x} - 56$
$\Rightarrow5\text{x} -7\text{x} = -56$
$\Rightarrow -2\text{x} = -56$
$\Rightarrow \text{x} = \frac{-56} {-2} = 28$
Therefore, the number of boys is $28.$
Number of girls $= ( \text{x}- 8) = 28 -8 =20$
Total strength of the class $= 28 + 20 = 48$
View full question & answer→MCQ 81 Mark
Tick $(\checkmark)$ the correct answer: The sum of two numbers is $95.$ If one exceeds the other by $15,$ then the smaller of the two is:
AnswerLet the numbers be $x$ and $x + 15.$
$\therefore x + x + 15 = 95$
$⇒ 2x + 15 = 95$
$⇒ 2x = 95 - 15$
$⇒ 2x = 80$
$⇒ x = 40$
The smaller number is $40.$
View full question & answer→MCQ 91 Mark
Tick $(\checkmark)$ the correct answer: If $2\text{y}+\frac{5}{3}=\frac{26}{3}-\text{y},$ then $\text{y}=?$
- A
$1$
- B
$\frac{2}{3}$
- C
$\frac{6}{5}$
- ✓
$\frac{7}{3}$
AnswerCorrect option: D. $\frac{7}{3}$
$2\text{y}+\frac{5}{3}=\frac{26}{3}-\text{y}$
$\Rightarrow\frac{6\text{y}+5}{3}=\frac{26-3\text{y}}{3}$
$\Rightarrow6\text{y}+5=26-3\text{y}$
$\Rightarrow6\text{y}+3\text{y}=26-5$
$\Rightarrow9\text{y}=21$
$\Rightarrow\text{y}=\frac{21}{9}=\frac{7}{3}$
View full question & answer→MCQ 101 Mark
Tick $(\checkmark)$ the correct answer: If $2x - 3 = x + 2$, then $x = ?$
Answer$\text{2x}-3=\text{x}+2$
$\Rightarrow2\text{x}-\text{x}=3+2$
$\Rightarrow\text{x}=5$
View full question & answer→MCQ 111 Mark
Tick $(\checkmark)$ the correct answer: If $\frac{\text{x}+1}{2\text{x}+3}=\frac{3}{8},$ then $\text{x}=?$
- A
$\frac{1}{4}$
- B
$\frac{1}{3}$
- C
$\frac{1}{6}$
- ✓
$\frac{1}{2}$
AnswerCorrect option: D. $\frac{1}{2}$
$\frac{\text{x}+1}{2\text{x}+3}=\frac{3}{8}$
$\Rightarrow8(\text{x}+1)=3(2\text{x}+3)$
$\Rightarrow8\text{x}+8=6\text{x}+9$
$\Rightarrow8\text{x}-6\text{x}=9-8$
$\Rightarrow2\text{x}=1$
$\Rightarrow\text{x}=\frac{1}{2}$
View full question & answer→MCQ 121 Mark
Mark $(\checkmark)$ against the correct answer: $ 7 x^2-19 x-6 = ?$
- ✓
$(x - 3)(7x + 2)$
- B
$(x + 3)(7x - 2)$
- C
$(x - 3)(7x - 2)$
- D
$(7x - 3)(x + 2)$
AnswerCorrect option: A. $(x - 3)(7x + 2)$
$ 7 x^2-19 x-6 $
$ =7 x^2-21 x+2 x-6 $
$= 7x(x - 3) + 2(x - 3)$
$= (x - 3)(7x + 2)$
View full question & answer→MCQ 131 Mark
Tick $(\checkmark)$ the correct answer: If $3(t - 3) = 5(2t + 1),$ then $t = ?$
Answer$3 ( \text{t} - 3 ) = 5 ( 2\text{t} + 1 )$
$\Rightarrow3\text{t} - 9 = 10\text{t} + 5$
$\Rightarrow3\text{t} - 10\text{t} = 9 + 5$
$\Rightarrow-7\text{t} = 14$
$\Rightarrow -\text{t} = \frac{14}{7}=2$
$\Rightarrow \text{t} = -2$
View full question & answer→MCQ 141 Mark
Mark $(\checkmark)$ against the correct answer: $12x^2+ 60x + 75 = ?$
- A
$(2x + 5)(6x + 5)$
- B
$(3x + 5)^2$
- ✓
$3(2x + 5)^2$
- D
AnswerCorrect option: C. $3(2x + 5)^2$
$ 12 x^2+60 x+75 $
$ =3\left(4 x^2+20 x+25\right) $
$ =3\left((2 x)^2+2 \times 2 x \times 5+5^2\right) $
$ =3(2 x+5)^2 $
View full question & answer→MCQ 151 Mark
Mark $(\checkmark)$ against the correct answer:
$ab - a - b + 1 = ?$
- A
$(1 - a)(1 - b)$
- B
$(1 - a)(b - 1)$
- ✓
$(a - 1)(b - 1)$
- D
$(a - 1)(1 - b)$
AnswerCorrect option: C. $(a - 1)(b - 1)$
$(a - 1)(b - 1)$
$ab - a - b + 1$
$= a(b - 1)-1(b - 1)$
$= (a - 1)(b - 1)$
View full question & answer→MCQ 161 Mark
Tick $(\checkmark)$ the correct answer:
If $\frac{6\text{x}+1}{3}=\frac{\text{x}-3}{6}$ then $\text{x}=?$
Answer$\Rightarrow\frac{6\text{x} +1 }{3} = \frac{\text{x}{ - 3}}{{6}}$
$\Rightarrow \frac{6\text{x} + 1 + 3}{3} =\frac{\text{ x} − 3}{6}$
$\Rightarrow 6 ( 6\text{x} + 4) = 3 ( \text{x} - 3 )$
$\Rightarrow 36\text{x} + 24 = 3\text{x} - 9$
$\Rightarrow 36\text{x} - 3\text{x} = -24 -9$
$\Rightarrow 33\text{x} = -33$
$\Rightarrow \text{x} =\frac{-33}{33}= -1$
View full question & answer→MCQ 171 Mark
Mark $(\checkmark)$ against the correct answer: $ 10 p^2+11 p+3 = ?$
- A
$(2p + 3)(5p + 1)$
- ✓
$(5p + 3)(2p + 1)$
- C
$(5p - 3)(2p - 1)$
- D
AnswerCorrect option: B. $(5p + 3)(2p + 1)$
$ 10 p^2+11 p+3 $
$ =10 p^2+5 p+6 p+3 $
$= 5p(2p + 1) + 3(2p + 1)$
$= (5p + 3)(2p + 1)$
View full question & answer→MCQ 181 Mark
Tick $(\checkmark)$ the correct answer: If $3\text{m}=5\text{m}-\frac{8}{5},$ then, $\text{m} = ?$
- A
$\frac{2}{5}$
- B
$\frac{3}{5}$
- ✓
$\frac{4}{5}$
- D
$\frac{1}{5}$
AnswerCorrect option: C. $\frac{4}{5}$
$3\text{m}=5\text{m}-\frac{8}{5}$
$\Rightarrow3\text{m} = 25\text{m} - \frac{8}{5}$
$\Rightarrow15\text{m} = 25\text{m} - 8$
$15\text{m} - 25\text{m} =-8$
$⇒ -10\text{m} = -8$
$\Rightarrow\text{m} = \frac{-8}{-10}= \frac{4}{5}$
View full question & answer→MCQ 191 Mark
Tick $(\checkmark)$ the correct answer: If $\text{z}=\frac{4}{5}(\text{z}+10),$ then $\text{z} = ?$
Answer$\text{z}=\frac{4}{5}(\text{z}+10)$
$\Rightarrow5\text{z}=4(\text{z}+10)$
$\Rightarrow5\text{z}=4\text{z}+40$
$\Rightarrow5\text{z}-4\text{z}=40$
$\Rightarrow\text{z}=40$
View full question & answer→MCQ 201 Mark
Mark $(\checkmark)$ against the correct answer: $3 + 23x - 8x^2= ?$
- A
$(1 - 8x)(3 + x)$
- ✓
$(1 + 8x)(3 - x)$
- C
$(1 - 8x)(3 - x)$
- D
AnswerCorrect option: B. $(1 + 8x)(3 - x)$
$ 3+23 x-8 x^2 $
$ =3+24 x-x-8 x^2 $
$= 3(1 + 8x)-x(1 + 8x)$
$= (1 + 8x)(3 - x)$
View full question & answer→MCQ 211 Mark
Tick $(\checkmark)$ the correct answer: If $\frac{\text{n}}{\text{n}+15}=\frac{4}{9},$ then $\text{n}=?$
Answer$\frac{\text{n}}{\text{n}+15}=\frac{4}{9}$
$\Rightarrow\text{9n}=4(\text{n}+15)$
$\Rightarrow9\text{n}=4\text{n}+60$
$\Rightarrow9\text{n}-4\text{n}=60$
$\Rightarrow5\text{n}=60$
$\Rightarrow\text{n}=\frac{60}{5}=12$
View full question & answer→MCQ 221 Mark
Tick $(\checkmark)$ the correct answer: If $5t - 3 = 3t - 5,$ then $t = ?$
Answer$5\text{t}-3=3\text{t}-5$
$\Rightarrow5\text{t}-3\text{t}=3-5$
$\Rightarrow2\text{t}=-2$
$\Rightarrow\text{t}=\frac{-2}{2}=-1$
View full question & answer→MCQ 231 Mark
Tick $(\checkmark)$ the correct answer: The ages of $A$ and $B$ are in the ratio $5 : 7.$ Four years from now the ratio of their ages will be $3 : 4.$ The present age of $B$ is:
- A
$20$ years
- ✓
$28$ years
- C
$15$ years
- D
$21$ years
AnswerCorrect option: B. $28$ years
Let the number be $x.$
Let $x$ be the common multiple of the ages of $A$ and $B.$ Then. the ages of $A$ and $B$ would be $5x$ and $7x,$ respectively.
$\therefore\frac{5\text{x}+4}{7\text{x}-4}=\frac{3}{4}$
$\Rightarrow4( 5\text{x} +4 ) = 3 ( 7\text{x} + 4 )$
$\Rightarrow20\text{x} + 16 = 21\text{x} + 12$
$\Rightarrow16 - 12 = 21\text{x} - 20\text{x}$
$\Rightarrow4 = \text{x}$
$\Rightarrow\text{x} = 4 $
$\therefore$ Age of $\text{B} = 7(\text{x}) = 7\times4 $
$= 28 \text{ years}$
View full question & answer→MCQ 241 Mark
Number of boys and girls in a class are in the ratio $7: 5$. The number of boys is 8 more than the number of girls. The total class strength is
View full question & answer→MCQ 251 Mark
The sum of two numbers is 95 . If one exceeds the other by 15 , then the smaller of the two is
MCQ 261 Mark
Sum of three consecutive integers is 51 . The middle one is
MCQ 271 Mark
The base of an isosceles triangle is 6 cm and its perimeter is 16 cm . Length of each of the equal sides is
MCQ 281 Mark
The ages of $A$ and $B$ are in the ratio $5: 7$. Four years from now the ratio of their ages will be $3: 4$. The present age of $B$ is
View full question & answer→MCQ 291 Mark
Four-fifths of a number is greater than three-fourths of the number by 4 . The number is
MCQ 301 Mark
If $3(t-3)=5(2 t+1)$, then $t=$ ?
View full question & answer→MCQ 311 Mark
If $\frac{n}{n+15}=\frac{4}{9}$, then $n=?$
View full question & answer→MCQ 321 Mark
If $\frac{4 x+8}{5 x+8}=\frac{5}{6}$, then $x=?$
View full question & answer→MCQ 331 Mark
If $\frac{x+1}{2 x+3}=\frac{3}{8}$, then $x=?$
- A
$\frac{1}{4}$
- B
$\frac{1}{3}$
- C
$\frac{1}{6}$
- ✓
$\frac{1}{2}$
AnswerCorrect option: D. $\frac{1}{2}$
View full question & answer→MCQ 341 Mark
If $\frac{n}{2}-\frac{3 n}{4}+\frac{5 n}{6}=21$, then $n=?$
View full question & answer→MCQ 351 Mark
If $\frac{6 x+1}{3}+1=\frac{x-3}{6}$, then $x=?$
View full question & answer→MCQ 361 Mark
If $2 y+\frac{5}{3}=\frac{26}{3}-y$, then $y=?$
- A
- B
$\frac{2}{3}$
- C
$\frac{6}{5}$
- ✓
$\frac{7}{3}$
AnswerCorrect option: D. $\frac{7}{3}$
View full question & answer→MCQ 371 Mark
If $5 t-3=3 t-5$, then $t=?$
View full question & answer→MCQ 381 Mark
If $3 m=5 m-\frac{8}{5}$, then $m=$ ?
- A
$\frac{2}{5}$
- B
$\frac{3}{5}$
- ✓
$\frac{4}{5}$
- D
$\frac{1}{5}$
AnswerCorrect option: C. $\frac{4}{5}$
View full question & answer→MCQ 391 Mark
If $z=\frac{4}{5}(z+10)$, then $z=$ ?
View full question & answer→MCQ 401 Mark
If $5 x+\frac{7}{2}=\frac{3}{2} x-14$, then $x=$ ?
View full question & answer→MCQ 411 Mark
If $2 x-3=x+2$, then $x=?$
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